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240139872 = 25327235179
BaseRepresentation
bin11100101000000…
…11111001100000
3121201212100222100
432110003321200
5442433433442
635455010400
75644104150
oct1624037140
9551770870
10240139872
11113609705
1268509a00
133a99c6cb
1423c70760
151613784c
hexe503e60

240139872 has 144 divisors (see below), whose sum is σ = 814544640. Its totient is φ = 65615616.

The previous prime is 240139847. The next prime is 240139897. The reversal of 240139872 is 278931042.

It is an interprime number because it is at equal distance from previous prime (240139847) and next prime (240139897).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43779 + ... + 48957.

It is an arithmetic number, because the mean of its divisors is an integer number (5656560).

Almost surely, 2240139872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240139872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407272320).

240139872 is an abundant number, since it is smaller than the sum of its proper divisors (574404768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

240139872 is a wasteful number, since it uses less digits than its factorization.

240139872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5225 (or 5214 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 240139872 is about 15496.4470766689. The cubic root of 240139872 is about 621.5672040856.

The spelling of 240139872 in words is "two hundred forty million, one hundred thirty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 69 72 84 92 96 112 126 138 144 161 168 184 207 224 252 276 288 322 336 368 414 483 504 552 644 672 736 828 966 1008 1104 1288 1449 1656 1932 2016 2208 2576 2898 3312 3864 5152 5179 5796 6624 7728 10358 11592 15456 15537 20716 23184 31074 36253 41432 46368 46611 62148 72506 82864 93222 108759 119117 124296 145012 165728 186444 217518 238234 248592 290024 326277 357351 372888 435036 476468 497184 580048 652554 714702 745776 833819 870072 952936 1072053 1160096 1305108 1429404 1491552 1667638 1740144 1905872 2144106 2501457 2610216 2858808 3335276 3480288 3811744 4288212 5002914 5220432 5717616 6670552 7504371 8576424 10005828 10440864 11435232 13341104 15008742 17152848 20011656 26682208 30017484 34305696 40023312 60034968 80046624 120069936 240139872